Flow of Burgers’ fluid over an inclined stretching sheet with heat and mass transfer

T. Hayat^{1, 2}, Sadia Asad¹, A. Alsaedi²

(1. Department of Mathematics, Quaid-i-Azam University, 45320, Islamabad 44000, Pakistan;
2. Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics,
Faculty of Science, King Abdulaziz University, P. O. Box 80257, Jeddah 21589, Saudi Arabia)

Abstract:Effects of heat and mass transfer in the flow of Burgers fluid over an inclined sheet are discussed. Problems formulation and relevant analysis are given in the presence of thermal radiation and non-uniform heat source/sink. Thermal conductivity is taken temperature dependent. The nonlinear partial differential equations are simplified using boundary layer approximations. The resultant nonlinear ordinary differential equations are solved for the series solutions. The convergence of series solutions is obtained by plotting the -curves for the velocity, temperature and concentration fields. Results of this work describe the role of different physical parameters involved in the problem. The Deborah numbers corresponding to relaxation time (β₁ and β₂) and angle of inclination (α) decrease the fluid velocity and concentration field. Concentration field decays as Deborah numbers corresponding to retardation time (β₃) and mixed convection parameter (G) increase. Large values of heat generation/absorption parameters A/B, and the temperature distribution across the boundary layer increase. Numerical values of local Nusselt number, -θ′(0), and local Sherwood number, -f′(0), are computed and analyzed. It is found that θ′(0) increases with an increase in β₃.

Key words:Burgers’ fluid; thermal radiation; inclined stretching sheet; non-uniform heat source; variable thermal conductivity